On the mean square of short exponential sums related to cusp forms

Anne-Maria Ernvall-Hytönen

doi:10.7169/facm/1317045235

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Home > Journals > Funct. Approx. Comment. Math. > Volume 45 > Issue 1 > Article

September 2011 On the mean square of short exponential sums related to cusp forms

Anne-Maria Ernvall-Hytönen

Funct. Approx. Comment. Math. 45(1): 97-104 (September 2011). DOI: 10.7169/facm/1317045235

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Abstract

The purpose of the article is to estimate the mean square of a squareroot length exponential sum of Fourier coefficients of a holomorphic cusp form.

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Anne-Maria Ernvall-Hytönen. "On the mean square of short exponential sums related to cusp forms." Funct. Approx. Comment. Math. 45 (1) 97 - 104, September 2011. https://doi.org/10.7169/facm/1317045235

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Published: September 2011

First available in Project Euclid: 26 September 2011

zbMATH: 1243.11084

MathSciNet: MR2865416

Digital Object Identifier: 10.7169/facm/1317045235

Subjects:

Primary: 11L07

Secondary: 11F11 , 11F30

Keywords: exponential sums , Fourier coefficients , mean square

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Funct. Approx. Comment. Math.

Vol.45 • No. 1 • September 2011

Adam Mickiewicz University, Faculty of Mathematics and Computer Science

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Anne-Maria Ernvall-Hytönen "On the mean square of short exponential sums related to cusp forms," Functiones et Approximatio Commentarii Mathematici, Funct. Approx. Comment. Math. 45(1), 97-104, (September 2011)

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